The interesting part is that two others admitted her but retracted after "higher-ups in those universities’ administrations overrode those decisions".

Was she not considered properly conditioned?

Of course she was, but that's not what this is about. Letting her in proves that the bureaucratic credentials offered by schools are meaningless. The university system in its present form in the US is entirely predicated on the fiction that those credentials actually mean something and are worth paying six figures for.

"I'm in charge, I enforce the rules, I'm a big deal."